7954951680 has 600 divisors, whose sum is σ = 30988331352. Its totient is φ = 1949515776.

The previous prime is 7954951679. The next prime is 7954951681. The reversal of 7954951680 is 861594597.

7954951680 is a `hidden beast` number, since 7 + 9 + 5 + 49 + 516 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7954951679) and next prime (7954951681).

It is a super-2 number, since 2×7954951680² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7954951681) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043727 + ... + 35043953.

Almost surely, 2^7954951680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7954951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494165676).

7954951680 is an abundant number, since it is smaller than the sum of its proper divisors (23033379672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7954951680 is a wasteful number, since it uses less digits than its factorization.

7954951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 7954951680 is about 89190.5358207921. The cubic root of 7954951680 is about 1996.2389048486.

The spelling of 7954951680 in words is "seven billion, nine hundred fifty-four million, nine hundred fifty-one thousand, six hundred eighty".